geometry question. please help ​

Geometry Question. Please Help

Answers

Answer 1

Answer:

The length of PQ is 18 feet.

The length of PR is 18 feet.

The length of QR is 24 feet.

Step-by-step explanation:

A way to set an equation up for this problem is:

[tex]\frac{4}{3}x+x+x=60[/tex]

where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.

Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:

[tex]\frac{4}{3}(18)+18+18=60[/tex]

Don’t solve the whole equation, just solve the [tex]\frac{4}{3}(18)[/tex] part of the equation, which is equal to 24. So the final equation is this:

[tex]24+18+18=60[/tex]

Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).

Sorry for the long explanation.

But hope this helps and answers your question :)


Related Questions

What is the slope and y-intercept of 8x – 2y = -16?

Answers

Answer:

4x+8=y

Step-by-step explanation: This is because you take everything and isolate the y you take the 8x and subtract it from the other side then after that you divide everything by -2 to get your answer

If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side

Answers

Step-by-step explanation:

Given that,

DE = 8x - 13

EF = 5x + 17

DF = x + 21

Also,

DE = EF

which means that,

8x - 13 = 5x + 17

8x - 5x = 17 + 13

3x = 30

x = 30/3

x = 10

Now,

DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm

EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm

DF = x + 21 = 10 + 21 = 31cm

A firefighter is standing 33 feet away from a 45 foot tall building. The firefighter looks up and sees that a cat that is stuck on the top of the building and also notices a dog in a second flooor window that is 15 feet above ground. What is the angle of elevation of the cat?

Answers

Given :

Distance of firefighter from the building, D = 33 feet.

Height of building, h = 45 feet.

To Find :

The angle of elevation of the cat.

Solution :

Let, angle of elevation is Ф.

We know, tan Ф = h/D

tan Ф = 45/33

Ф = tan⁻¹( 45/33 )

Ф = 53.75°

Therefore, angle of elevation is 53.75° .

Hence, this is the required solution.

Using the table, find the average rate of change between x=−1 and x = 2.

Answers

I never seen to pretty best friends it’s always one of them got to be ugly

Find the value of x. Then find the measure of each labeled angle

Answers

Answer:

x = 111°

x° = 111°

(x-42)° = 69°

Step-by-step explanation:

Any polygon with *n* number of sides has an interior angle sum of (n-2) × 180°.

Therefore this right trapezoid must have an interior angle sum of 360° because

a trapezoid has 4 sides → n = 4 →

(n-2) × 180° = (4-2) × 180° = 2 × 180° = 360°

Because we are given a 90 degree angle with a set of parallel sides, the angle above that must also be a right angles well so these will total 180°.

The last two angles are given by the two expressions x°, and (x-42)°. Because we know the sum of these angles which are 360° we can create the following equation from these angles and solve!

180° + 2x - 42° = 360°

(Group the constants / numbers without a variable ; associative property of addition)

180° - 42° + 2x = 360°

(Find the total value of the constants)

138° + 2x = 360°

(subtract 138° from both sides to isolate 2x on the left side ; subtraction property of equality)

138° - 138° + 2x = 360° - 138°

(Work out the value of the constants again)

2x = 222°

(divide by 2 on both sides to cancel out the coefficient of 2 in 2x to get x by itself ; division property of equality)

2x / 2 = 222° / 2

(Simplify the two expressions)

x = 111°

_____________________

To find the measure of the x expressions, just substitute x = 111° into the expressions and simplify to find the measure!

So:

x = 111° → x° = 111°

x = 111° → (x-42)° → (111 - 42)° = (69)° →

(x-42)° = 69°

I need help ASAP!!!!!

Write the equation of the line in slope intercept form that has the given slope and the y-intercept

4). m=2;y-intercept is -6
5). m= -1; y-intercept is 3
6). m= -1/3; y-intercept is -1

Answers

Answer:

4). y= 2x - 6

5). y= -1x + 3

6). y= -1/3x - 1

What is the volume of the square pyramid? Round to the nearest hundredth, if needed.
5 in.
9 in.
9 in
0405 in 3
135 in. 3
675 in 3
75 in. 3

Answers

Umm I think 0405 in 3?????

Answer:

The answer is 135 in 3.

Step-by-step explanation:

To find the volume of a square pyramid, first you need to find the base and height. In this case,

a = 9

h = 5

Now we use the formula (1/3 a^2 h) To find the volume.

I will use )( To show numbers being multiplied, example: 3)(4 = 12

=1/3)(9 cm^2)(5 cm

=1/3)(81 cm)( 5 cm

= 135 in. 3

In ARST, mZR = (5x – 11)", mZS = (3x – 3)°, and m_T = (3x + 18)º.
Find mZR.

Answers

Answer:

m∠R = 69

Step-by-step explanation:

m∠R + m∠S + m∠T = 180       {Angle sum property of triangle}

5x - 11 + 3x - 3 +  3x + 18 = 180

5x + 3x + 3x - 11 - 3 + 18 = 180     {Combine like terms}

                     11x  +4      = 180

                                 11x = 180 - 4

                                 11x = 176

                                    x = 176/11

x = 16

m∠R = 5x - 11

        = 5*16 - 11

        = 80 - 11

m∠R = 69

 

I would really appreciate some help... branliest to whoever can

Answers

Answer:

1. 6 to the power of 8

2. 9765625

3. 2 to the power of 4

4. 1296

5. I do not know 5 sorry.

6. 117649

Step-by-step explanation:

2x+5y=-62x+5y=−6 Determine the intercepts of the line

Answers

Answer:

(0,-6/5)

(X,Y)

Step-by-step explanation: MARK BRAINLIEST

Answer:

(-3,0)   (0,-1.2)

Step-by-step explanation:

1. Billy's mother started a college fund on Billy's 8th birthday. She
deposited $8,200 into a savings account that yields an interest rate of
0.21% compounded annually. How much money will the savings account
be worth when Billy turns 18 years old?

Answers

when billy turns 18 he will have $3,099.6 in his account because .021 percent x $8,200= $172.20 per year x 18 years = $3,099.60

Nana plants 3 red roses bushes for every 4 yellow rose bushes in her garden. If she plants 12 red rose bushes, how many yellow will she plant? Number only

Answers

Answer:

16

Step-by-step explanation:

Given that:

For every 3 red roses bushes for every 4 yellow bushes are planted by Nana in her garden.

Let us first have a look at the ratio of red roses bushes and yellow bushes.

Number of red roses bushes : Number of yellow bushes = 3 : 4

Now, we are given that there are 12 red rose bushes planted.

To find: How many yellow rose bushes Nana will plant?

Solution:

Let us use unitary method for finding the required answer.

Number of yellow rose bushes for every 3 red roses = 4

Number of yellow rose bushes for every 1 red rose = [tex]\frac{4}{3}[/tex]

Number of yellow rose bushes for every 12 red rose = [tex]\frac{4}{3}\times 12 = 4\times 4 = \bold{16}[/tex]

Therefore, the answer is 16.

giving extra points pls help

Answers

Answer:

x = 8mi

Step-by-step explanation:

Use Pythagorean theorem! It states that you can find any side of the triangle using the equation  +  =  . The sides a and b are the sides that are shortest, and c is the longest/slanted side (hypotenuse). So plug in what they give you to get  +  =  ( a and b can be used for either number that is not the hypotenuse). A little bit of basic algebra will lead you to get x=8 mi.

Now first tell me whts 9.6- 26.8
but I already kno!

Answers

Free variably points -17.2

The first four terms of a sequence are shown below:

9,5, 1, -3

Which of the following functions best defines this sequence?


Answers

Answer:

-4

Step-by-step explanation:

Need answer ASAP will give brainliest check out the picture

Answers

Answer:

i think... x=6

Step-by-step explanation:

3x+9=x+21

3x−x=12

2x=12

x=6

Isaiah and Cooper work at a dry cleaners ironing shirts. Isaiah can iron 25 shirts per hour, and Cooper can iron 30 shirts per hour. Cooper worked twice as many hours as Isaiah and they ironed 340 shirts between them. Write a system of equations that could be used to determine the number of hours Isaiah worked and the number of hours Cooper worked. Define the variables that you use to write the system.

Answers

Answer:

See Explanation

Step-by-step explanation:

[tex]25x + 30y = 340\\y = 2x\\[/tex]

x=number of hours Isaiah worked.

y=number of hours Cooper worked

Investors buy a studio apartment for $120,000. Of this​ amount, they have a down payment of $12,000 . Their down payment is what percent of the purchase​ price? What percent of the purchase price would a ​$42,000 down payment​ be?

Answers

Answer:

The percentage for both the cases would be 100% and 35% respectively

Step-by-step explanation:

The computation of the percentage of down payment to the purchase price would be:

In the first case, the percentage would be

= Down payment ÷ Total amount

= $12,000 ÷ $120,000

= 100%

For the second case, the percentage would be

=  Down payment ÷ Total amount

= $42,000 ÷ $120,000

= 35%

The percentage for both the cases would be 100% and 35% respectively

It costs $26 to join Gym X, plus an additional $33 per month. It
costs $59 to join Gym Y, plus an additional $30 per month.
After how many months of membership would it cost the
same to belong to either gym?

PLEASEE HELP !

Answers

8 months

Step-by-step explanation:

Need help will mark brainliest

Answers

Answer:

Step-by-step explanation:

a. RG=36 since RG=2(RT)

b.

4x+12=10x-15 Since RG and HI are equivalent

12=6x-15 Subtract 4x from both sides

27=6x Add 15 to both sides

4.5=x Divide by 6 on both sides

to double check:

4(4.5)+12=30

10(4.5)-15= 30

so x=4.5

If h(x) = -3х – 10, find h(-3). (1 point) - 19 ООО 1​

Answers

Answer:

h(-3) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

h(x) = -3x - 10

h(-3) is x = -3

Step 2: Evaluate

Substitute:                    h(-3) = -3(-3) - 10Multiply:                        h(-3) = 9 - 10Subtract:                       h(-3) = -1

- х= -у
6x - бу = 12
I need to find if it’s a substitution or elimination equation and step by step

Answers

Just by looking at this question, I say there is no solution because these two equations do not touch or meet on the xy-plane.

- х= -у.........A

6x - бу = 12.........B

Solve A for x.

-x = - y

Divide both sides by negative 1.

Doing so, we get x = y. Plug this into B.

6x - 6y = 12

6(y) - 6y = 12

The left side becomes zero.

0 = 12 is a false statement.

Answer: There is no solution to this system of

equations in two variables.

Understand?

A jar contains 12 caramels, 8 mints and 7 dark chocolates. What is the probability of selecting a mint? simplify if possible.

ME PUEDEN AYUDAR ES PARA HOY

Answers

Answer:

8/27

Step-by-step explanation:

GIVING BRAINLIEST!!

Graph the solution of 2x + 3 <3.

Answers

Answer:

Open dot to the left. Dot on zero.

Step-by-step explanation:

Answer:

I hope this helps!

what is the cube root of -27​

Answers

Answer:

-3

Step-by-step explanation:

[tex]\sqrt[3]{-27}[/tex] is -3 and can be proven by doing [tex]-3^{3}[/tex] as -3 x -3 x -3 of itself will give you -27, as [tex]\sqrt[3]{-27}[/tex] is just -27/-3/-3

I need this answer ACAP, please! (Marta likes to make soup during the winter months. No matter how much soup she makes, she always freezes 32 ounces to save for later, then serves what's left).

60 divided by 32
60 plus 32
60 times 32
60 minus 32

Which one?

Answers

Answer:

60 minus 32

Step-by-step explanation:

Since she freezes 32 ozs everytime, shes taking away 32 oz, so your bassicaly losing 32 ozs temperorily.

PLEEAASESEEE HEELLPPPP

Answers

Answer:

9

Step-by-step explanation:

= x + 16° + x + 3° =5x - 8°[ Sum of two interior angles is equal to the exterior angle]

or, 2x + 19 = 5x - 8

or, 19 + 8 = 5x - 2x

or, 27 = 3x

or, x = 27/3

x= 9

Sarah used 2.5 cups of cheese in a dish that serves 10 people. Many used 1.6 cups of cheese ina dish that serves 8 people. How much cheese is in one serving of Sarah's dish?

Answers

Answer:

Sarah has. 25 cups in each serving. Amy has. 2 cups in each serving. Sarah is. 05 more than Amy.

Step-by-step explanation:

A public parking garage charges $5, plus an additional $2 per hour.
Choose the graph of the line.

Answers

Answer:

2nd one

Step-by-step explanation:

Graph-2 is correct line that represents the parking charge of the public garage.

What is a linear equation?

A linear equation is an equation where the variable has the highest degree of 1.

Given, a public parking garage charges $5, plus an additional $2 per hour.

For 1 hour, the total cost will be = $(5 + 2 × 1) = $7.

For 2 hours, the total cost will be = $(5 + 2 × 2) = $9.

For 3 hours, the total cost will be = $(5 + 2 × 3) = $11.

For 4 hours, the total cost will be = $(5 + 2 × 4) = $13.

For 5 hours, the total cost will be = $(5 + 2 × 5) = $15.

Here, the increase in parking cost is in the form of linear equation and it increases $2 with the increase in every hour.

Therefore, graph-2 represents the actual line of cost of the parking charge and time.

Learn more about linear equation here: https://brainly.com/question/2263981

#SPJ2

You purchase 3 items for $4.23. About how much did you spend?
$15
$10
$12
$13

Answers

Answer

13

Step-by-step explanation:

4+4+4=12+.23+.23+.23=12.69 and round up to 13

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